Federal Labor is refusing to release documents showing their members and senators meet the citizenship requirements outlined in the constitution.

As the citizenship crisis sweeps through Canberra, there is growing pressure on the Opposition to prove members who were born overseas or who have family links to other countries are not dual citizens.

The Federal Government has raised questions over the citizenship status of a number of Labor MPs, including Susan Lamb, Justine Keay, Maria Vamvakinou and Tony Zappia.

But despite repeated requests from the ABC, the party has refused to release any of the documentation those members are relying on to remain in Parliament.

The constitution prevents anyone with dual citizenship from holding office, and there are now seven politicians, including the Deputy Prime Minister and Nationals leader Barnaby Joyce, who will ask the High Court to decide whether they can remain in Parliament.

Australian Conservatives senator Cory Bernardi suggested the current session of Parliament should be ended, or prorogued, because of the growing number of members and senators facing questions over their allegiance.

Mr Shorten said the Government should postpone debate on contentious legislation until the High Court cleared up the crisis.

"I don't know if we need to go to proroguing, that seems a pretty drastic step," Mr Shorten said.

"But it does seem to me that if we're not going to have gridlock in the Parliament through self-inflicted parliamentary farce by the Government, let's just work together."